The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 287, SSA = 23, SSB = 24, SSAB = 185. Set up the ANOVA table and testfor significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation.SourceSumDegreesMeanof Variationof Squaresof FreedomSquareF value p-valueFactor AFactor BInteractionErrorTotalThe p-value for Factor A isSelect your answer -What is your conclusion with respect to Factor A?|- Select your answer -The p-value for Factor B is - Select your answer -What is your conclusion with respect to Factor B?- Select your answerThe p-value for the interaction of factors A and B is - Select your answer -What is your conclusion with respect to the interaction of Factors A and B?|- Select your answer -

For the given data Fill all the required blanks

Answered: The calculations for a factorial…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Acne is a common skin disease that affects most adolescents and can continue into adulthood. A study compared the effectiveness of three acne treatments and a placebo, all in gel form, applied twice daily for 12 weeks. The study's 517 teenage volunteers were randomly assigned to one of the four treatments. Success was assessed as clear or almost clear skin at the end of the 12 week period. The results of the study can be seen in the table below. Using the appropriate statistical test, determine if there is significant evidence that the four treatments perform differently. If so, how do they compare.
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 282, SSA = 27, SSB = 21, SSAB = 175. Set up the ANOVA table. (Round your values for mean squares and F to two decimal places, and your p-values to three decimal places.) Source Sum Degrees of Freedom Mean F p-value of Variation of Squares Square Factor A Factor B Interaction Error Total Test for any significant main effects and any interaction effect. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value = State your conclusion about factor A. O Because the p-value s a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is not significant. O Because the p-value sa = 0.05, factor A is not significant. Find…
A senlor accounting major at MIidsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees from each firm: How many months did you work before recelving a raise in salary? Using the following ANOVA table, Is there a difference in the mean number of months before recelving a ralse among the four firms? Use the 0.01 level of significance. Analysis of Variance Source df SS MS Factor 27.17 9.06 5.06 0.015 Error 13 23.22 1.79 Total 16 50.39 a. What are the null and alternate hypotheses? Ho: H b. What Is the test statistic? (Round your answer to 2 decimal places.) The test statistic is c. What Is the p-value? (Round your answer to 3 declmal places.) p-value
Table 1 summarizes the demographic and baseline data. Since two independent groups were included, the baseline data between these two groups were compared and p values were included in this table. Please tell which specific statistical test was used for the comparison between number of intubation attempts and trauma. Your answer should be as specific as possible. For example, was the test two-sided or one-sided? Was the test for paired samples or not?
If SSBetween = 225.31 and there are four groups in the study with 10 cases per group, MSBetween = :
You conduct a one-factor ANOVA with 6 groups and 10 subjects in each group (a balanced design) and obtain F 2.07. Use Excel to find the requested values (report p-value accurate to 4 decimal places). betwee dfwithin p =
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 263, SSA = 23, SSB = 22, SSAB = 160. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediate values for calculation. Source of Variation Factor A Factor B Interaction Error Total Sum of Squares 00000 The p-value for Factor A is Degrees of Freedom 00000 - Select your answer - What is your conclusion with respect to Factor A? + - Select your answer - The p-value for Factor B is - Select your answer - What is your conclusion with respect to Factor B? ◆ - Select your answer - The p-value for the interaction of factors A and B is ◆ ◆ Mean Square 0000 - Select your answer - What is your conclusion with respect to the interaction of Factors A and B? Select your answer - + F value ◆ p-value
3. Given a two-way ANOVA with two levels for factor A, four levels for factor B, and three replicates in each of the eight cells, with SSA = 20, SSB = 60, SSE = 70, and SST = 174, a. form the ANOVA summary table and fill in all values in the body of the table. b. at the 0.05 level of significance, is there an effect due to factor A? c. at the 0.05 level of significance, is there an effect due to factor B? d. at the 0.05 level of significance, is there an interaction effect?
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